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Finding the Third Proportional to 832.22 and 1,816.03

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Solution

The third proportional to 832.22 and 1,816.03 is: 3,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.22 : 1,816.03 = 1,816.03 : x
  2. Step 2: Convert to fraction form
    832.22/1,816.03 = 1,816.03/x
  3. Step 3: Cross multiply
    832.22x = 1,816.03 × 1,816.03
  4. Step 4: Simplify right side
    832.22x = 3,297,969.50
  5. Step 5: Solve for x
    x = 3,297,969.50/832.22
  6. Step 6: Final answer
    x = 3,962.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.